Question

Write a sine function that has a midline of 5, an amplitude of 4 and a period of 3/5

Answer 1

To answer this question, first, we have to recall that,

`f(x)=\sin x,`

has an amplitude of 2, a midline

`y=0,`

and a period of

`2\pi\text{.}`

Now, to change the amplitude we multiply the function by a constant in the following way:

`4\sin (x).`

For the new function to have a midline of y = 5, we have to translate the sine, 5 units up: